1010100002113 has 2 divisors, whose sum is σ = 1010100002114. Its totient is φ = 1010100002112.

The previous prime is 1010100002101. The next prime is 1010100002123. The reversal of 1010100002113 is 3112000010101.

It is an a-pointer prime, because the next prime (1010100002123) can be obtained adding 1010100002113 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 806813539984 + 203286462129 = 898228^2 + 450873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010100002113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010100002113.

It is not a weakly prime, because it can be changed into another prime (1010100002123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050001056 + 505050001057.

It is an arithmetic number, because the mean of its divisors is an integer number (505050001057).

Almost surely, 2^{1010100002113} is an apocalyptic number.

It is an amenable number.

1010100002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100002113 is an equidigital number, since it uses as much as digits as its factorization.

1010100002113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1010100002113 its reverse (3112000010101), we get a palindrome (4122100012214).

The spelling of 1010100002113 in words is "one trillion, ten billion, one hundred million, two thousand, one hundred thirteen".